Simplify the complex fraction. $$\frac { \frac { 1 } { 2 } - \frac { 1 } { 4 } } { \frac { 5 } { 6 } + \frac { 3 } { 4 } }$$
A) $\frac { 3 } { 19 }$
B) $\frac { 3 } { 21 }$
C) $\frac { 1 } { 21 }$
D) $\frac { 2 } { 19 }$
E) $\frac { 1 } { 19 }$

Question

Quizplus · Accepted Answer

First, simplify the numerator and the denominator separately. Numerator: $ \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4} $. Denominator: $ \frac{5}{6} + \frac{3}{4} = \frac{10}{12} + \frac{9}{12} = \frac{19}{12} $. The fraction becomes $ \frac{\frac{1}{4}}{\frac{19}{12}} $, which simplifies to $ \frac{1}{4} \times \frac{12}{19} = \frac{3}{19} $.

Simplify the Complex Fraction 12−1456+34\frac { \frac { 1 } { 2 } - \frac { 1 } { 4 } } { \frac { 5 } { 6 } + \frac { 3 } { 4 } }65​+43​21​−41​​

Simplify the Complex Fraction $\frac { \frac { 1 } { 2 } - \frac { 1 } { 4 } } { \frac { 5 } { 6 } + \frac { 3 } { 4 } }$